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Simplifying 3x + 2(x + -5) = 1 + -1x Reorder the terms: 3x + 2(-5 + x) = 1 + -1x 3x + (-5 * 2 + x * 2) = 1 + -1x 3x + (-10 + 2x) = 1 + -1x Reorder the terms: -10 + 3x + 2x = 1 + -1x Combine like terms: 3x + 2x = 5x -10 + 5x = 1 + -1x Solving -10 + 5x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 5x + x = 1 + -1x + x Combine like terms: 5x + x = 6x -10 + 6x = 1 + -1x + x Combine like terms: -1x + x = 0 -10 + 6x = 1 + 0 -10 + 6x = 1 Add '10' to each side of the equation. -10 + 10 + 6x = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 1 + 10 6x = 1 + 10 Combine like terms: 1 + 10 = 11 6x = 11 Divide each side by '6'. x = 1.833333333 Simplifying x = 1.833333333
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